Krasnoselskii type fixed point theorems and applications
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- by Yicheng Liu and Zhixiang Li
- Proc. Amer. Math. Soc. 136 (2008), 1213-1220
- DOI: https://doi.org/10.1090/S0002-9939-07-09190-3
- Published electronically: December 5, 2007
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Abstract:
In this paper, we establish two fixed point theorems of Krasnoselskii type for the sum of $A+B$, where $A$ is a compact operator and $I-B$ may not be injective. Our results extend previous ones. As an application, we apply such results to obtain some existence results of periodic solutions for delay integral equations and then give three instructive examples.References
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Bibliographic Information
- Yicheng Liu
- Affiliation: Department of Mathematics and System Science, College of Science, National University of Defense Technology, Changsha, 410073, People’s Republic of China.
- Email: liuyc2001@hotmail.com
- Zhixiang Li
- Affiliation: Department of Mathematics and System Science, College of Science, National University of Defense Technology, Changsha, 410073, People’s Republic of China.
- Email: zhxli02@yahoo.com.cn
- Received by editor(s): July 28, 2004
- Received by editor(s) in revised form: December 20, 2005
- Published electronically: December 5, 2007
- Communicated by: David S. Tartakoff
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 1213-1220
- MSC (2000): Primary 47H10, 34K13
- DOI: https://doi.org/10.1090/S0002-9939-07-09190-3
- MathSciNet review: 2367095